Born-Oppenheimer approximation for mass scaling of cold-collision properties
Stephan Falke, E. Tiemann, Christian Lisdat
Asymptotic levels of the $A$ $^{1}\ensuremath{\Sigma}_{u}^{+}$ state of the two isotopomers $^{39}\mathrm{K}_{2}$ and $^{39}\mathrm{K}^{41}\mathrm{K}$ up to the dissociation limit are investigated with a Doppler-free high resolution laser-spectroscopic experiment in a molecular beam. The observed level structure can be reproduced correctly only if a mass dependent correction term is introduced for the interaction potential. The applied relative correction in the depth of the potential is ${10}^{\ensuremath{-}6}$, which is in the order of magnitude expected for corrections of the Born-Oppenheimer approximation. A similar change in ground state potentials might lead to significant changes of mass-scaled properties describing cold collisions like the $s$-wave scattering length.
arXiv:0706.2290•Physical Review A•Jul 31, 2007•7 citations